Discussion
A flywheel of moment of inertia 10 kg\( \cdot \)m\( ^2 \) spinning at 1000 rad/s stores
Answer: B
Correct answer: 1.39 kWh
The stored kinetic energy is
\[ E = \tfrac{1}{2}I\omega^2 = 0.5 \times 10 \times 1000^2 = 5 \times 10^6 \ \mathrm{J} \]\[ \frac{5 \times 10^6}{3.6 \times 10^6} \approx 1.39 \ \mathrm{kWh} \]Modest as energy, but that 5 MJ can be delivered in a second or two if required, which is the flywheel’s point - it is a power device, not an energy one.
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